The $X-$rays produced in a Coolidge tube of potential difference $40 \ kV$ have a minimum wavelength of:

  • A
    $3.09 \times 10^{-11} \ m$
  • B
    $5.09 \times 10^{-11} \ m$
  • C
    $4.09 \times 10^{-11} \ m$
  • D
    $1.09 \times 10^{-11} \ m$

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$A$ potential difference of $42,000 \ V$ is used in an $X-ray$ tube to accelerate electrons. The maximum frequency of the $X-radiations$ produced is ($1 \ eV = 1.6 \times 10^{-19} \ J$ and $h = 6.63 \times 10^{-34} \ J \cdot s$).

An $X$-ray tube is operated at $50\, kV$. The minimum wavelength produced is ....... $\mathring{A}$.

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